2667560 has 48 divisors (see below), whose sum is σ = 6987060. Its totient is φ = 913920.

The previous prime is 2667503. The next prime is 2667569. The reversal of 2667560 is 657662.

It can be written as a sum of positive squares in 2 ways, for example, as 2502724 + 164836 = 1582^2 + 406^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1280 + ... + 2640.

2^2667560 is an apocalyptic number.

2667560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493530).

2667560 is an abundant number, since it is smaller than the sum of its proper divisors (4319500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2667560 is a wasteful number, since it uses less digits than its factorization.

2667560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 2667560 is about 1633.2666653061. The cubic root of 2667560 is about 138.6877382097.

The spelling of 2667560 in words is "two million, six hundred sixty-seven thousand, five hundred sixty".